(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.0' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 195540, 5378]*) (*NotebookOutlinePosition[ 196406, 5406]*) (* CellTagsIndexPosition[ 196362, 5402]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["Mie Scattering in Absorbing Medium", "Title"], Cell["\<\ Created by I Wayan Sudiarta (sudiarta@dal.ca) Dept. of Physics and Atmospheric Science Dalhousie University, Halifax, NS B3H 3J5 Last Updated: 24 Aug 2005 Changes: 24 Aug 2005: Fixing the asymmetry g.\ \>", "Subsubtitle"], Cell[CellGroupData[{ Cell["\<\ Modules for calculating Riccati Bessel functions Note: array [[1]] RB functions, array [[2]] its derivative\ \>", "Section"], Cell[CellGroupData[{ Cell[BoxData[{ \(\(rby[z_, nmax_] := Module[{sby, dsby, i, n}, \n\t\tsby\ = \ Table[0.0, {i, 0, nmax}]; \ \ dsby\ = \ Table[0.0, {i, 0, nmax}]; sby[\([1]\)]\ = \ \(-Cos[z]\)/z; \ sby[\([2]\)]\ = \((sby[\([1]\)] - Sin[z])\)/z; \ For[n = 2, n <= nmax, \(n++\), \n\t\t\t\ti = n + 1; \n\t\t\tsby[\([i]\)] = N[\((2*n - 1)\)*sby[\([i - 1]\)]/z - sby[\([i - 2]\)], 20];\n\ \ \ \ \ \ ]; \n\t\tdsby[\([1]\)]\ = \((Sin[z] + Cos[z]/z)\)/z; For[n = 1, n <= nmax, \(n++\), \n\t\t\t\ti = n + 1; \t dsby[\([i]\)] = sby[\([i - 1]\)] - \((n + 1)\)*sby[\([i]\)]/z;\n\t\t]; {z* Delete[sby, 1], Delete[sby + z*dsby, 1]}];\)\n\), "\n", \(\(rbj[z_, nmax_] := Module[{sbj, dsbj, i, n, niter, f, f0, f1, sa, sb, cs}, \n\t\tniter\ = \ IntegerPart[nmax + Sqrt[100 + Abs[z]]]; sbj\ = \ Table[0.0, {i, 0, nmax}]; \ \ dsbj\ = \ Table[0.0, {i, 0, nmax}]; sbj[\([1]\)]\ = \ Sin[z]/z; \ \ sbj[\([2]\)]\ = \((sbj[\([1]\)] - Cos[z])\)/ z; \ \ \n\t\tsa\ = \ sbj[\([1]\)]; \n\t\tsb\ 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